PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2009 | 7 | 1 | 130-134
Tytuł artykułu

Topological constraints on solar loop plasma instabilities and Alfvén waves

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Inhomogeneous plasmas-solar instabilities-are investigated by using the techniques of classical differential geometry for curves, where the Frenet torsion and curvature describe completely the motion of a curve. In our case, the Frenet frame changes in time and also depends upon the other coordinates, taking into account the inhomogeneity of the plasma. The exponential perturbation method, so commonly used to describe cosmological perturbations, is applied to the magnetohydrodynamic (MHD) plasma equations to find modes describing Alfvén wave propagation in the medium of planar loops. Stability is investigated in the imaginary axis of the spectra of complex frequencies ω, i.e. $$ \Im $$ m (ω) ≠ 0. A pratical guide for experimental solar physicists is given by computing the twist of force-free solar loops, which generalizes the Parker formula relating the twist to the Frenet torsion. In our expression the twist of the solar loops also depends on the abnormality of the normal vector of the frame.
Wydawca

Czasopismo
Rocznik
Tom
7
Numer
1
Strony
130-134
Opis fizyczny
Daty
wydano
2009-03-01
online
2009-01-08
Twórcy
  • Departamento de Física Teórica - IF - Universidade do Estado do Rio de Janeiro-UERJ Rua São Francisco Xavier, 524 Cep, 20550-003, Maracanã, Rio de Janeiro, RJ, Brasil, garcia@dft.if.uerj.br
Bibliografia
  • [1] L. Golub, report-NASA, March 23, 2007 (2007)
  • [2] V. Arnold, B. Khesin, Applied Mathematics Sciences 125 (Springer, 1991)
  • [3] Bateman, MHD Instabilities (MIT Press, 1978)
  • [4] J. Thiffeault, A.H. Boozer, arXiv:nlin/0209042v1
  • [5] R. Ricca, Sol. Phys. 172, 241 (1997) http://dx.doi.org/10.1023/A:1004942121307[Crossref]
  • [6] L.C. Garcia de Andrade, Phys. Plasmas 13, 022309 (2006) http://dx.doi.org/10.1063/1.2172363[Crossref]
  • [7] L.C. Garcia de Andrade, Phys. Scripta 73 (2006)
  • [8] M. Lopez Fuentes et al., Astron. Astrophys. 397, 305 (2003) http://dx.doi.org/10.1051/0004-6361:20021487[Crossref]
  • [9] L. Acton et al., Science 258, 618 (1992) http://dx.doi.org/10.1126/science.258.5082.618[Crossref]
  • [10] E.N. Parker, Spontaneous Current Sheets in Magnetic fields (Oxford, 1994)
  • [11] L.C. Garcia de Andrade, Astrophys. Space Sci. (in press)
  • [12] S. Childress, A. Gilbert, Twist, Stretch and Fold: The Fast Dynamo (Springer, 1995) [WoS]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0088-z
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.